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What Is The Value Of n So That The Expression X² + 12 x + n Is A Perfect Square Trinomial ? ( 1 Point ) A . 36 B . 36 C . 72 D . 144

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HINT: \[x^2 + 6x + 6x + n\]
\[x(x + 6) + 6(x + \cdots)\]
What do you think? @CaritaDeAngel

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Other answers:

I'm Not So Sure Still
Do you know that if you have a perfect square polynomial, then you must separate the middle term into the two same numbers.
Here, \(12 x = 6x + 6x\).
$$a^2 +2ab+b^2 = (a+b)^2$$ $$x² + 12 x + n$$
Now factor the first two terms: \(x^2 + 6x = x(x + 6)\)
Is It D ?
\[(x + a)^2 = x^2 + 2ax + a^2\]\(12x= 2ax\)
Why do both A and B have the same answer @CaritaDeAngel ?
How do you think it is D? Can you explain?
Oops A Is Actually Supposed To Be 6
Sorry My Mistake I Didn't See That
No problem :)
I'll Re-Type The Answer Choices Again In Case You Get Confused A . 6 B . 36 C . 72 D . 144
Is This Supposed To Be A Graph ?
Or Just The Numbers ?
I Think It's D But I Know I'm Not Sure
Ok . Is It B ?
Correct. $$6^2=36=n$$
Oh Ok Thank You
np :)
I Have One More Question
A Rocket Is Launched From Atop A 105-foot Cliff With An Initial Velocity Of 156 ft/s . The Height Of The Rocket Above The Ground At Time t Is Given By h = –16t2 + 156t + 105 . When Will The Rocket Hit The Ground After It Is Launched ? Round To The Nearest Tenth Of A Second . (1 point)
A . 4.9 s B . 9.8 s C . 0.6 s D . 10.4 s
I'm Guessing It's D
Oh I Just Sent My Work . OMG I Got A 100 % !

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